{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,2]],"date-time":"2025-09-02T10:49:11Z","timestamp":1756810151796},"reference-count":10,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>We have generalized Littlewood Tauberian theorems for<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>C<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>k<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>r<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>summability of double sequences by using oscillating behavior and de la Vall\u00e9e-Poussin mean. Further, the generalization of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>C<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>r<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>summability from<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>C<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>k<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>r<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>summability is given as corollaries which were earlier established by the authors.<\/jats:p>","DOI":"10.1155\/2016\/2431010","type":"journal-article","created":{"date-parts":[[2016,5,12]],"date-time":"2016-05-12T21:01:21Z","timestamp":1463086881000},"page":"1-4","source":"Crossref","is-referenced-by-count":15,"title":["A Tauberian Theorem for Double Ces\u00e0ro Summability Method"],"prefix":"10.1155","volume":"2016","author":[{"given":"Bidu Bhusan","family":"Jena","sequence":"first","affiliation":[{"name":"Department of Mathematics, VSS University of Technology, Burla 768018, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Susanta Kumar","family":"Paikray","sequence":"additional","affiliation":[{"name":"Department of Mathematics, VSS University of Technology, Burla 768018, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Umakanta","family":"Misra","sequence":"additional","affiliation":[{"name":"Department of Mathematics, NIST, Palur Hills, Golanthara 761008, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"issue":"1","key":"3","doi-asserted-by":"crossref","first-page":"83","DOI":"10.4064\/sm-110-1-83-96","volume":"110","year":"1994","journal-title":"Studia Mathematica"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/bf01580302"},{"key":"2","volume-title":"Analysis of divergence control and management of divergent process","year":"1998"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.2478\/aicu-2014-0010"},{"key":"1","first-page":"272","volume":"8","year":"2016","journal-title":"Asian Journal of Mathematics and Computer Research"},{"issue":"2","key":"5","doi-asserted-by":"crossref","first-page":"271","DOI":"10.2478\/s12175-012-0008-y","volume":"62","year":"2012","journal-title":"Mathematica Slovaca"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.12.065"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.08.060"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2007.02.012"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2010.10.036"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2016\/2431010.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2016\/2431010.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2016\/2431010.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,22]],"date-time":"2022-06-22T06:05:37Z","timestamp":1655877937000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2016\/2431010\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":10,"alternative-id":["2431010","2431010"],"URL":"https:\/\/doi.org\/10.1155\/2016\/2431010","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}